Details

sample36.0ms

Algorithm

intervals

Results

15.0ms

322×

body

valid

simplify1.0s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
8.6b	(/ (* x (+ (- y z) 1.0)) z)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

97.0ms	(* x (+ (- y z) 1.0))
66.0ms	(/ (* x (+ (- y z) 1.0)) z)

series89.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (+ (- y z) 1.0))
47.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify532.0ms

Counts: 53 → 53

prune134.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.1b	(/ x (/ z (+ (- y z) 1.0)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

50.0ms	(/ z (+ (- y z) 1.0))
65.0ms	(/ x (/ z (+ (- y z) 1.0)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ z (+ (- y z) 1.0))
65.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify737.0ms

Counts: 145 → 145

prune329.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
0.2b	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
3.1b	(/ (/ z (+ (- y z) 1.0)) x)

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
595×	`*-un-lft-identity`
335×	`add-sqr-sqrt` `add-cube-cbrt`
104×	`distribute-lft-out`
75×	`associate-/r*`
52×	`distribute-lft-out--`
35×	`associate-/r/`
31×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 435

Calls

3 calls:

56.0ms	(/ z (+ (- y z) 1.0))
73.0ms	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
94.0ms	(/ (/ z (+ (- y z) 1.0)) x)

series204.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ z (+ (- y z) 1.0))
50.0ms	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
86.0ms	(/ (/ z (+ (- y z) 1.0)) x)

simplify758.0ms

Counts: 444 → 444

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1 (+ (- y z) 1.0)) z)
3.4b	(* (/ (* 1 (+ (- y z) 1.0)) z) (* 1 x))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
28×	`prod-exp` `add-cbrt-cube`
12×	`div-exp` `cbrt-unprod`
8×	`1-exp`
7×	`pow1` `associate-l`
6×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`pow-prod-down` `associate-/r*`
2×	`associate-*r/` `div-inv` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `flip3-+` `associate-r` `associate-l/` `clear-num` `-commutative` `flip-+` `associate-/l*`

Counts

2 → 61

Calls

2 calls:

64.0ms	(/ (* 1 (+ (- y z) 1.0)) z)
164.0ms	(* (/ (* 1 (+ (- y z) 1.0)) z) (* 1 x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (* 1 (+ (- y z) 1.0)) z)
50.0ms	(* (/ (* 1 (+ (- y z) 1.0)) z) (* 1 x))

simplify618.0ms

Counts: 67 → 67

prune134.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

-156.2% (8.9b remaining)

Error of 9.0b against oracle of 0.0b and baseline of 3.5b

bsearch104.0ms

Steps

Iters	Range		Point
7	2.8942340846199604e-73	6.264538654193895e-72	6.18740927030149e-72
9	-1.6853749013735252e+30	-5.452804783141298e+22	-7.269742081445241e+26

simplify1.3s

end0.0ms

sample896.0ms

Algorithm

intervals

Results

448.0ms

10007×

body

valid